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ikadub [295]
2 years ago
5

CAN SOMEONE PLEASE HELP ME RIGHT NOW.

Mathematics
1 answer:
exis [7]2 years ago
6 0

Answer:

m∠SRV = 48°

Step-by-step explanation:

In the parallelogram attached,

m∠TUV = 78°

m∠TVU = 54°

By applying the property of the angles of a triangle in ΔTVU,

m∠TUV + m∠TVU + m∠UTV = 180°

78° + 54° + m∠UTV = 180°

m∠UTV = 180° - 132°

             = 48°

Sides RS and TU are the parallel sides of the parallelogram and diagonal TR is a transverse.

Therefore, ∠UTV ≅ ∠SRV [Alternate interior angles]

m∠UTV = m∠SRV = 48°

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A car dealership has 24 feet of dividers with which to enclose a rectangular play space in a corner
blondinia [14]

Answer:Answer:a) Area=f(x)= 24x-x^2

b) f(x) ranges from 0 to 144

c) Area max = 144 ft^2

Step-by-step explanation: shown in the attachment

7 0
1 year ago
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing
tester [92]

The length of pendulum is 2.485 feet

<h3><u><em>Solution:</em></u></h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

<u><em>Therefore, the given formula is:</em></u>

T=2\pi \sqrt{\frac{L}{32} }

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8

Substitute T = 1.75 seconds and \pi = 3.14

L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485

Thus length of pendulum is 2.485 feet approximately

7 0
2 years ago
If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?
pochemuha
The is Answer:

82

Explanation:

We observe that difference between first and second terms <span>=12−5=7</span>
Similarly difference between second and third terms <span>=19−12=7</span>

It shows that the given sequence of numbers is an arithmetic progression with common difference equal to 7.

We know that <span>nth</span> term of an AP whose first term is <span>a1</span> and whose common difference is d is given by 
<span><span>an</span>=<span>a1</span>+<span>(n–1)</span>d</span>

To find the <span>12th</span> term, insert given values in the general expression
<span><span>a12</span>=5+<span>(12–1)</span>7</span>
<span><span>a12</span>=5+<span>(11)</span>7=5+77=<span>82</span></span>

4 0
1 year ago
Read 2 more answers
B(n)=−4−2(n−1)b, left parenthesis, n, right parenthesis, equals, minus, 4, minus, 2, left parenthesis, n, minus, 1, right parent
Inessa05 [86]

Answer:

12th term would be -26.

Step-by-step explanation:

Given explicit formula of a sequence,

b(n) = -4 - 2(n-1)

Where,

n = number of a term.

i.e. 12th term will get after putting n = 12 in the formula.

Hence, 12th term of the sequence would be,

b(12) = -4 - 2(12-1)

=-4-2(11)

= -4 - 22

= -26

8 0
2 years ago
I ate twice as many apples as bananas and 3 times as many blueberries as bananas. If I ate 12 fruits and berries altogether, how
igor_vitrenko [27]
2 bananas 4 apple and 6 blueberries
8 0
2 years ago
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